It is a Jordan-Polya number, since it can be written as 4! ⋅ (3!)3 ⋅ 2!.
10368 is nontrivially palindromic in base 15.
10368 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.
It is an ABA number since it can be written as A⋅BA, here for A=2, B=72.
It is a nialpdrome in base 12.
It is a self number, because there is not a number n which added to its sum of digits gives 10368.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10368.
10368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
10368 is a Friedman number, since it can be written as 6^(3+1)*(8+0), using all its digits and the basic arithmetic operations.
210368 is an apocalyptic number.
10368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10368
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10368 is an frugal number, since it uses more digits than its factorization.
10368 is an odious number, because the sum of its binary digits is odd.
The square root of 10368 is about 101.8233764909. The cubic root of 10368 is about 21.8054471140.
Multiplying 10368 by its sum of digits (18), we get a square (186624 = 4322).
10368 divided by its sum of digits (18) gives a square (576 = 242).
Adding to 10368 its reverse (86301), we get a palindrome (96669).
The spelling of 10368 in words is "ten thousand, three hundred sixty-eight".